“For the young people, it’s as if the distraction never happened,” said an author of the review, Lynn Hasher, a professor of psychology at the University of Toronto and a senior scientist at the Rotman Research Institute. “But for older adults, because they’ve retained all this extra data, they’re now suddenly the better problem solvers. They can transfer the information they’ve soaked up from one situation to another.”

Such tendencies can yield big advantages in the real world, where it is not always clear what information is important, or will become important. A seemingly irrelevant point or suggestion in a memo can take on new meaning if the original plan changes. Or extra details that stole your attention, like others’ yawning and fidgeting, may help you assess the speaker’s real impact.

“A broad attention span may enable older adults to ultimately know more about a situation and the indirect message of what’s going on than their younger peers,” Dr. Hasher said. “We believe that this characteristic may play a significant role in why we think of older people as wiser.”

In a 2003 study at Harvard, Dr. Carson and other researchers tested students’ ability to tune out irrelevant information when exposed to a barrage of stimuli. The more creative the students were thought to be, determined by a questionnaire on past achievements, the more trouble they had ignoring the unwanted data. A reduced ability to filter and set priorities, the scientists concluded, could contribute to original thinking.

This phenomenon, Dr. Carson said, is often linked to a decreased activity in the prefrontal cortex. Studies have found that people who suffered an injury or disease that lowered activity in that region became more interested in creative pursuits.

Jacqui Smith, a professor of psychology and research professor at the Institute for Social Research at the University of Michigan, who was not involved in the current research, said there was a word for what results when the mind is able to assimilate data and put it in its proper place — wisdom.